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Finding the Fourth Proportional to 21,751.68, 32,631.84 and 12,396

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Solution

The fourth proportional to 21,751.68, 32,631.84 and 12,396 is: 18,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751.68 : 32,631.84 = 12,396 : x
  2. Step 2: Convert to fraction form
    21,751.68/32,631.84 = 12,396/x
  3. Step 3: Cross multiply
    21,751.68x = 32,631.84 × 12,396
  4. Step 4: Simplify right side
    21,751.68x = 404,504,288.64
  5. Step 5: Solve for x
    x = 404,504,288.64/21,751.68
  6. Step 6: Final answer
    x = 18,596.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.